Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 287 · 40 questions

How to solve it (Go through one): Unitary: cost of one = total ÷ number; then multiply by how many you need. Ratio p : q of a total: one part = total ÷ (p + q); a share = its parts × one part. Workers and days go the opposite way: total work = workers × days; days = total work ÷ new number of workers.

1. 1.If 5 pens cost ₹25, how much do 6 pens cost? (a) ₹26 (b) ₹150 (c) ₹30 (d) ₹35
2. 2.If 5 mangoes cost ₹105, how much do 3 mangoes cost? (a) ₹315 (b) ₹103 (c) ₹84 (d) ₹63
3. 3.3 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 4 days (b) 3 days (c) 2 days (d) 7 days
4. 4.If 4 notebooks cost ₹36, how much do 6 notebooks cost? (a) ₹38 (b) ₹54 (c) ₹63 (d) ₹216
5. 5.If 6 mangoes cost ₹48, how much do 3 mangoes cost? (a) ₹24 (b) ₹45 (c) ₹144 (d) ₹32
6. 6.If 2 notebooks cost ₹42, how much do 5 notebooks cost? (a) ₹126 (b) ₹105 (c) ₹210 (d) ₹45
7. 7.If 5 kites cost ₹15, how much do 6 kites cost? (a) ₹18 (b) ₹90 (c) ₹21 (d) ₹16
8. 8.7 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 8 days (b) 6 days (c) 3 days (d) 7 days
9. 9.3 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 4 days (b) 19 days (c) 2 days (d) 3 days
10. 10.If 9 pens cost ₹198, how much do 11 pens cost? (a) ₹200 (b) ₹242 (c) ₹264 (d) ₹2178
11. 11.If 2 mangoes cost ₹28, how much do 11 mangoes cost? (a) ₹154 (b) ₹308 (c) ₹37 (d) ₹168
12. 12.If 2 pens cost ₹24, how much do 11 pens cost? (a) ₹132 (b) ₹33 (c) ₹144 (d) ₹264
13. 13.If 8 mangoes cost ₹40, how much do 4 mangoes cost? (a) ₹36 (b) ₹25 (c) ₹160 (d) ₹20
14. 14.₹88 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹48 (b) ₹44 (c) ₹40 (d) ₹8
15. 15.If 8 notebooks cost ₹56, how much do 2 notebooks cost? (a) ₹21 (b) ₹112 (c) ₹50 (d) ₹14
16. 16.If 4 kites cost ₹16, how much do 12 kites cost? (a) ₹48 (b) ₹24 (c) ₹192 (d) ₹52
17. 17.₹99 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹54 (b) ₹63 (c) ₹45 (d) ₹9
18. 18.If 6 notebooks cost ₹126, how much do 4 notebooks cost? (a) ₹504 (b) ₹124 (c) ₹105 (d) ₹84
19. 19.5 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 9 days (b) 13 days (c) 17 days (d) 25 days
20. 20.₹230 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹115 (b) ₹46 (c) ₹230 (d) ₹184
21. 21.If 9 mangoes cost ₹63, how much do 12 mangoes cost? (a) ₹91 (b) ₹756 (c) ₹84 (d) ₹66
22. 22.If 4 mangoes cost ₹48, how much do 3 mangoes cost? (a) ₹144 (b) ₹36 (c) ₹48 (d) ₹47
23. 23.9 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 3 days (b) 28 days (c) 27 days (d) 15 days
24. 24.3 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 12 days (b) 9 days (c) 7 days (d) 13 days
25. 25.₹207 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹184 (b) ₹185 (c) ₹207 (d) ₹23
26. 26.₹432 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹336 (b) ₹96 (c) ₹48 (d) ₹216
27. 27.6 workers can build a wall in 12 days. How many days will 8 workers take, working at the same speed? (a) 14 days (b) 9 days (c) 16 days (d) 10 days
28. 28.₹240 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹20 (b) ₹120 (c) ₹100 (d) ₹140
29. 29.₹572 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹352 (b) ₹220 (c) ₹44 (d) ₹286
30. 30.If 5 pens cost ₹65, how much do 12 pens cost? (a) ₹72 (b) ₹169 (c) ₹156 (d) ₹780
31. 31.₹120 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹20 (b) ₹100 (c) ₹60 (d) ₹120
32. 32.₹169 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹130 (b) ₹52 (c) ₹13 (d) ₹117
33. 33.If 3 pens cost ₹33, how much do 6 pens cost? (a) ₹36 (b) ₹198 (c) ₹77 (d) ₹66
34. 34.8 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 25 days (b) 24 days (c) 14 days (d) 4 days
35. 35.₹145 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹116 (b) ₹117 (c) ₹145 (d) ₹29
36. 36.₹144 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹24 (b) ₹120 (c) ₹144 (d) ₹72
37. 37.4 workers can build a wall in 9 days. How many days will 12 workers take, working at the same speed? (a) 17 days (b) 1 day (c) 3 days (d) 27 days
38. 38.₹160 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹160 (b) ₹80 (c) ₹140 (d) ₹20
39. 39.5 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 6 days (b) 5 days (c) 9 days (d) 4 days
40. 40.If 3 kites cost ₹27, how much do 7 kites cost? (a) ₹31 (b) ₹72 (c) ₹189 (d) ₹63

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